What are the prime numbers of 28?
Prime Factors of 28The prime numbers (or prime factors) of 28 are 2 and 7. Here’s how:- Factorization: - Divide 28 by the smallest prime number, 2: 28 ÷ 2 = 14. - Divide 14 by 2: 14 ÷ 2 = 7. - 7 is a prime number.- Result: 28 = 2 × 2 × 7. The prime factors are 2 (twice) and 7 (once).
Detailed Explanation of 28’s Prime FactorsTo find the prime numbers (prime factors) of 28, we use prime factorization. Here’s a step-by-step breakdown:- Step 1: Start with 28: - Check divisibility by the smallest prime number, 2. - 28 ÷ 2 = 14 (so 2 is a prime factor).- Step 2: Factor 14: - 14 ÷ 2 = 7 (another 2).- Step 3: Factor 7: - 7 is a prime number (divisible only by 1 and itself).- Step 4: Compile Factors: - 28 = 2 × 2 × 7. - The prime factors are 2 (appears twice) and 7 (appears once).- Verification: - Multiply: 2 × 2 × 7 = 28. - No other prime numbers (e.g., 3, 5) divide 28 evenly.- Pro Tip: Use a factor tree for complex numbers, but for 28, this simple division method works. The unique prime factors are always the same: 2 and 7.